已知数列{an}满足a1=1,an-a(n+1)=ana(n+1),数列{an}的前n项和为Sn.(1)求证:{1/an}为等差数列;(2)设Tn=S2n-Sn,求证T(n+1)>Tn
来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/23 20:57:30
已知数列{an}满足a1=1,an-a(n+1)=ana(n+1),数列{an}的前n项和为Sn.(1)求证:{1/an}为等差数列;(2)设Tn=S2n-Sn,求证T(n+1)>Tn已知数列{an}
已知数列{an}满足a1=1,an-a(n+1)=ana(n+1),数列{an}的前n项和为Sn.(1)求证:{1/an}为等差数列;(2)设Tn=S2n-Sn,求证T(n+1)>Tn
已知数列{an}满足a1=1,an-a(n+1)=ana(n+1),数列{an}的前n项和为Sn.(1)求证:{1/an}为等差数列;
(2)设Tn=S2n-Sn,求证T(n+1)>Tn
已知数列{an}满足a1=1,an-a(n+1)=ana(n+1),数列{an}的前n项和为Sn.(1)求证:{1/an}为等差数列;(2)设Tn=S2n-Sn,求证T(n+1)>Tn
an-a(n+1)=ana(n+1) 【两边同除以ana(n+1)】
得:
1/[a(n+1)]-1/[a(n)]=1
即:
数列{1/(an)}是以1/a1=1为首项、以d=1为公差的等差数列.
则:
1/[a(n)]=n
a(n)=1/n
已知数列{an}满足a(n+1)=an+n,a1=1,则an=
已知数列{an}满足a(n+1)=an+lg2,a1=1,求an
已知数列{an}满足a1=1 an+1=an/(3an+1) 则球an
已知数列an满足a1=1,a(n+1)=an/(3an+1) 求数列通项公式
已知数列an满足a1=1,a(n+1)=an/(3an+2),则an=?
已知数列an满足条件a1=-2 a(n+1)=2an/(1-an) 则an=
已知数列{an}满足a1=1,3a(n+1)+an-7
已知数列{an}满足an+1=an+n,a1等于1,则an=?
已知数列{an}满足an+1=2an+3.5^n,a1=6.求an
已知数列满足a1=1/2,an+1=2an/(an+1),求a1,a2已知数列满足a1=1/2,a(n+1)=2an/(an+1),求a1,a2;证明0
已知数列{An}满足a1=1,a(n+1)=2an+1 求证数列{an+1}是等比数列 求数列{an}通式
数列题,求通项已知数列{An}满足A=2An/(1-An),A1=2,求数列{An}的通项公式
已知数列{an}满足a1=2,a(n+1)-an=a(n+1)*an,则a31=?
已知数列{an}中满足(An+1-An)(An+1+An)=16,且a1=1,an
已知数列满足a1=2,a(n+1)=2an-1/an,证明1/an-1为等差
已知数列an满足:a1=1,an-a(n-1)=n n大于等于2 求an
已知数列{an}满足3a(n+1)=2an-4,且a1=1/5,求an
已知数列{an}满足a(n+1)=an+3n+2,且a1=2,求an=?